A publisher sells 106 copies of a new book. Each book has 102 pages. How many pages total are there in all of the books sold?

Write the answer using exponents.

The value of nine plus ten is 19

Mathematical operations are simply known as arithmetic operations used in solving algebraic problems and other mathematical calculations.

These operations include;

In this case, we have;

nine plus ten

This is expressed as;

9 + 10

The sum is 19

Thus, the value of nine plus ten is 19

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The value of the function at g(-2) is 18.

A function is defined a relation between two variables in such a way that the dependent variable y is related to the independent variable x.

To calculate a specific value of a function we substitute the given value in the expression of x thereby calculating the value of the function at that point.

Given function : g(x)=x²-7x

At x=-2 , written as g(-2) we put the value -2 in the expression of x.

∴g(-2)=(-2)²-7(-2)

or, g(-2)=4+14

or, g(-2)=18

Hence the value of the function at g(-2) is 18.

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Step-by-step explanation:

lily's in months=4/12

hugos in months=8/12

4/12+8/12

1/3+2/3

lily's month in simplest form=1/3

hugos month in simplest form=2/3

Answer:

125%

this is the answer in percent form

if we take 140 as the 100%, what is 175 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 140 & 100\\ 175& x \end{array} \implies \cfrac{140}{175}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{4}{5}=\cfrac{100}{x}\implies 4x=500\implies x=\cfrac{500}{4}\implies x=125[/tex]

The answer to the given logarithm expression is  log₁/₂ 1/2 = 1

Another technique to clarify exponents in mathematics is through logarithms. A base number's logarithm equals another number.

For instance, log10 100 = 2 if 102 = 100. A logarithm is defined as an influence by which variety must be raised to receive another value. this is often the foremost convenient thanks to represent large numbers. Logarithms have several important properties that prove that logarithmic multiplication and division is written because the logarithm of addition and subtraction. The log is named the logarithm of base e. The logarithm is represented by ln or loge. where 'e' represents Euler's constant,  approximately capable 2.71828. as an example, the log of 76 is written as ln 76. The log defines what percentage times 'e' must be multiplied to induce the required output.

Using log property logₐ a = 1log₁/₂ 1/2 = 1

Hence , we evaluated the logarithm which is log₁/₂ 1/2 = 1

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The value of the x means hypotenuse according to the Pythagoras is 12.8.

According to the statement

We have to find that the value of the x.

So, For this purpose, we know that the

Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse

From the given information:

The perpendicular length is 12.

And The base is a 4.5

And we have to find that the hypotenuse value.

Then

According to the theorem

Perpendicular^2 + base^2 = Hypotenuse^2

And substitute the value then

12^2 + 4.5^2 = Hypotenuse^2

144 + 20.25 = Hypotenuse^2

Then

Hypotenuse^2 = 144 + 20.25

Hypotenuse^2 = 164.25

Hypotenuse = 12.8.

So, The value of the x means hypotenuse according to the Pythagoras is 12.8.

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On average, the number of miles the athlete ran per day is; 18/5 or 3.6 miles per day

We are given;

Number of days the athletes ran = 3¹/₂ days = 7/2 days

Total distance ran in the given time = 12³/₅ miles = 63/5 miles

Now, the average distance will simply be given by the expression;

Average Distance = Total Distance/Number of days of running

Now, let us convert the fractions to improper fraction for easy division. Thus, we have;

Number of days the athletes ran = 7/2 days

Total distance ran in the given time = 63/5 miles

Thus;

Average Distance = (63/5)/(7/2)

Average distance = 63/5 * 2/7 = 18/5 = 3.6 miles per day

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Answer:

Step-by-step explanation:

 The system of equations does not have one solution because the lines will never intersect.

Answer:

7°

Step-by-step explanation:

The three angles of a triangle should sum up to 180°

→   m∠1 + 121 + 52 = 180

→   m∠1 + 173 = 180

→   m∠1 = 180 - 173 = 7°

According to the question, to calculate the zeros of each function. The given function is f(x) = [tex]x^{4}-5x^{2} +6[/tex]

Now, let us assume [tex]a=x^{2}[/tex]. Therefore, the above equation can be written as:

[tex]f(x)=a^{2}-5a+6[/tex]

Calculate the factors of the given equation and it can be re-written as:

[tex]f(x) = (a+2)(a+3)[/tex]

To calculate the final solution, equate it to zero.

[tex](a+2)(a+3)=0\\a=-2,-3[/tex]

Now, substitute these values in the original assumed equation:

The zeros function values are [tex]-\sqrt{2i};\sqrt{2i},-\sqrt{3i} ,\sqrt{3i}[/tex]

What is zero functions?

A zero function is a function which is almost zero everywhere on the graph. It is also known as a constant function.

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The solution of the equation solved for a is (D)  y c-x b / x

As it is given that

x / y = c / a + b

Calculating for a

(a + b)x = cy

a + b = cy / x

a = (cy / x) - b

a = (cy - bx) / x

a = (yc - xb) / x

The solution of the equation solved for a is (D)  y c-x b / x

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Answer:

z+2y

Step-by-step explanation:

z is the only z there so dont have to change

-3y+5y=2y

so u get z+2y

Hey there!

z - 3y + 5y

= 1z - 3y + 5y

COMBINE the LIKE TERMS:

= (-3y + 5y) + (1z)

= -3y + 5y + 1z

= 2y + 1z

= 2y + z

Therefore, your answer should be:

2y + z

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The summation of f (x) and g (x) = x ² + 3 x + 3

Given,

f (x) = x ² + 4

g (x) = 3 x - 1

The question states to find the summation of the function f, that is, f (x) = x ² + 4, and function g, that is, g (x) = 3 x - 1

Performing the addition operation on these functions is just like simple addition.

This implies, adding the two functions f (x) and g (x), we get

f (x) + g (x) = x ² + 4 + 3 x - 1

=> f (x) + g (x) = x ² + 3 x + 3

This assumes that the summation or addition of the two functions f (x) and g (x) gives x ² + 3 x + 3

Therefore, we get the summation of f (x) and g (x) as x ² + 3 x + 3

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Answer:

it adding

Step-by-step explanation:

Answer:

i think it c im not sure though I tried my best to figure the answer out. pls dont get mad if its wrong.

Answer:

A

Step-by-step explanation:

20xday will help determine how many she reads, the +52 will allow us to account for the 52 she a;ready read.

A function that models each inverse variation is y = 24. 1/x and y when x=-5 is -24/5

Those with inverse properties cancel each other out. In other words, f(g(x)) = g(f(x)) = x if g(x) is f's inverse (x). We have a great approach we can use to achieve this given an equation for which we desire the inverse.

Not every action has an equivalent. It is obvious that f(x) will never again have the same value if it has an inverse. We designate a unique name for this resource.

Inverse variation is y = k. 1/x

given y = 12

x = 2

So, 12 = k. 1/2

So, the value of k = 24

We can conclude that the value of constant variation is 24

when x = -5, the value of y will be -

y = k.1/x

y = 24 . 1/-5

y = -24/5

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Answer:

C=h+k+p

Step-by-step explanation:

You just add all of the variables and it equals your total cost. if it was by hour the equation would be slightly different

The solution to the given system of equations is x = 1, y = 1. That is, (1, 1)

From the question, we are to solve the given system of equations.

The given system of equations is

y = -2x + 3y  ------------- (1)

y = 5x - 4      ------------- (2)

Substitute equation (2) into equation (1)

y = -2x + 3y

5x - 4 = -2x + 3(5x - 4)

5x - 4 = -2x + 15x - `12

Collect like terms

-4 + 12 = -2x + 15x - 5x

Simplify

8 = 8x

∴ x = 8/8

x = 1

Substitute the value of x into equation (2)

y = 5x - 4

y = 5(1) - 4

y = 5 - 4

y = 1

Hence, the solution to the given system of equations is x = 1, y = 1. That is, (1, 1)

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Answer: 135°

Step-by-step explanation:

Since π = 180°

(3 × π)/ 4

Substitute 180° for π

= (3 × 180)/4

Simplify

= 540/4

= 135°

Answer:

y = 85

Step-by-step explanation:

6x - 25 = 4x + 15

(Subtract 4x from both sides)

2x - 25 = 15

(Add 25 to both sides)

2x = 40

(Divide 40 by 2)

x = 20

6(20) - 25 = 4(20) + 15

(Solve)

95 + 95 = 190

(Subtract 360 from 190)

360 - 190 = 170

(Divide 170 by 2)

85

y = 85

The rationalization of the given expression is  (xy²)¹/³ /y .

We have to rationalize the denominator of the expression ∛x / ∛y ,

where x and y are positive.

∛x / ∛y

= (∛x / ∛y) × (∛y / ∛y)

= ∛(x × y) / ∛(y × y)

= (∛xy)/ ∛y²

= (∛xy)/∛y²

= (xy²)¹/³ /y

The answer is  (xy²)¹/³ /y .

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Answer: 8.25 inches per hour

Step-by-step explanation: 99/12 = 8.25

9.375 grams of fat are there in 3.75 servings.

A Nutrition Facts label lists the nutritional content, the serving size, and the calories for a recommended serving of a food product. This helps consumers make the best decision on how much to eat, maybe when they want to eat this food, or how they can better balance their food choices throughout the day.

Given the statement:

A nutrition label indicates that one serving of Apple crisp oatmeal has 2.5 grams of fat.

Determine the grams of fat in 3.75 servings.

In order to determine the grams of fat in 3.75 servings, we simply needed to multiply 2.5 grams by 3.75.

= (2.5 grams)×( 3.75)

= 9.375 grams of fat.

Thus , 3.75 servings contain 9.375 grams of fat ,if 1 serving contain 2.5 grams of fat .

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Writing 2,000 words will take about 50 minutes for the average writer typing on a keyboard and 1.7 hours for handwriting.

Answer:

5 hours. the response has to be 20 characters long.

The simplification of 4+√12 / 4-√12 after rationalizing all denominators

is 7+4[tex]\sqrt{3}[/tex]

We are given the equation;

[tex]\frac{4+\sqrt{12} }{4-\sqrt{12} }[/tex]

The above equation can also be written as;

[tex]\frac{4+\sqrt{4*3} }{4-\sqrt{4*3} }[/tex]

Since our question requires us to rationalize the denominator, we will use the initial equation to rationalize the denominator. That is;

[tex]\frac{4+\sqrt{12} }{4-\sqrt{12} }[/tex]  *  [tex]\frac{4+\sqrt{12} }{4+\sqrt{12} }[/tex]

We then simplify;

4(4+[tex]\sqrt{12}[/tex])+[tex]\sqrt{12}[/tex](4+[tex]\sqrt{12}[/tex]) /  4(4+[tex]\sqrt{12}[/tex])- [tex]\sqrt{12}[/tex](4+[tex]\sqrt{12}[/tex])

= 16+4[tex]\sqrt{12}[/tex]+4[tex]\sqrt{12}[/tex]+[tex]\sqrt{12*12}[/tex] / 16+4[tex]\sqrt{12}[/tex]-4[tex]\sqrt{12}[/tex]-[tex]\sqrt{12*12}[/tex]

= 16+8[tex]\sqrt{12}[/tex]+12 /16-12

=28+8[tex]\sqrt{12}[/tex] / 4

=28+8[tex]\sqrt{4*3}[/tex] /4

= 28+8*2[tex]\sqrt{3}[/tex] /4

=28+16[tex]\sqrt{3}[/tex] /4

Divide all sides by 4;

= 7+4[tex]\sqrt{3}[/tex]

The final answer is therefore; 7+4[tex]\sqrt{3}[/tex]

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summing-up the values for equation of line y = x/2 + 1 in table :

x       y

-10   -4

-6    -2

-2     0

What is Algebraic expression ?

Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.

Here, the given equation is :

y = x/2 + 1

Now, computing the value of y corresponding to values of x by substituting values in above equation :

when x = -10 :

y = x/2 + 1

y = -10/2 + 1

y = -5 +1

y = -4

similarly, for :

x = -6 , y = -2

x = -2 , 0

summing-up the above values in table that is attached below :

x       y

-10   -4

-6    -2

-2     0

⁻⁻⁻⁻⁻⁻⁻⁻⁻⁻

Now to draw the line graph of above equation taking any two coordinates let us say (-2,0) and (-2,-6). Now drawing the line joining these two points as shown in figure attached below.

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